Behavioral approach to list decoding
Jan Willem Polderman, Margreta Kuijper · 2002
List decoding may be translated into a bivariate interpolation problem. The interpolation problem is to find a bivariate polynomial of minimal weighted degree that interpolates a given set of pairs taken from a finite field. We present a behavioral approach to this interpolation problem. With the data points we associate a set of trajectories. For this set of trajectories we construct the Most Powerful Unfalsified Model. The bivariate polynomial is then derived from a specific representation of the MPUM.